If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 8z2 + 20z + -49 = 0 Reorder the terms: -49 + 20z + 8z2 = 0 Solving -49 + 20z + 8z2 = 0 Solving for variable 'z'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. -6.125 + 2.5z + z2 = 0 Move the constant term to the right: Add '6.125' to each side of the equation. -6.125 + 2.5z + 6.125 + z2 = 0 + 6.125 Reorder the terms: -6.125 + 6.125 + 2.5z + z2 = 0 + 6.125 Combine like terms: -6.125 + 6.125 = 0.000 0.000 + 2.5z + z2 = 0 + 6.125 2.5z + z2 = 0 + 6.125 Combine like terms: 0 + 6.125 = 6.125 2.5z + z2 = 6.125 The z term is 2.5z. Take half its coefficient (1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. 2.5z + 1.5625 + z2 = 6.125 + 1.5625 Reorder the terms: 1.5625 + 2.5z + z2 = 6.125 + 1.5625 Combine like terms: 6.125 + 1.5625 = 7.6875 1.5625 + 2.5z + z2 = 7.6875 Factor a perfect square on the left side: (z + 1.25)(z + 1.25) = 7.6875 Calculate the square root of the right side: 2.772634127 Break this problem into two subproblems by setting (z + 1.25) equal to 2.772634127 and -2.772634127.Subproblem 1
z + 1.25 = 2.772634127 Simplifying z + 1.25 = 2.772634127 Reorder the terms: 1.25 + z = 2.772634127 Solving 1.25 + z = 2.772634127 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + z = 2.772634127 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + z = 2.772634127 + -1.25 z = 2.772634127 + -1.25 Combine like terms: 2.772634127 + -1.25 = 1.522634127 z = 1.522634127 Simplifying z = 1.522634127Subproblem 2
z + 1.25 = -2.772634127 Simplifying z + 1.25 = -2.772634127 Reorder the terms: 1.25 + z = -2.772634127 Solving 1.25 + z = -2.772634127 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + z = -2.772634127 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + z = -2.772634127 + -1.25 z = -2.772634127 + -1.25 Combine like terms: -2.772634127 + -1.25 = -4.022634127 z = -4.022634127 Simplifying z = -4.022634127Solution
The solution to the problem is based on the solutions from the subproblems. z = {1.522634127, -4.022634127}
| 5x+15-2x=25+3x-10 | | 5log(x+3)=12 | | 5x=42-3x | | x^2-6+3x^2-10x+2= | | 6x-1=-2(3-5x) | | 7=(t-1)-2(t-3) | | 9+3x=-(x+7) | | 16-x=4+5x | | h=-4t^2+4t+120 | | x^3+3x^2+2x=2x^2+4x | | 3(x-8)+15=-18 | | -1=-14+5x | | 10x-8=10x+5 | | b=zc+m | | 77r^2+53r-40=0 | | 4(x+5)=3(x-2)-2x+2 | | 42*84*3.14=x | | 3x^3-x^2-10x=-x^2+2 | | Y+9.4=10 | | 10x*4=80 | | 3x-15=120 | | 11-11x=-14-10x | | -a+8.5=14.2 | | -3(5+5m)=75 | | 1x+8=5 | | -6(10+2x)=-192 | | 3s^2+7s^2-18s-42=0 | | 3x-6=x-3 | | k-9=11 | | 0.6(-6.53-2x)=-0.4x | | 8x-9=3-2x | | (x-9)(3x-1)=-52x-39 |